(8y+7x)-(-11y-2x)=3y+5

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Solution for (8y+7x)-(-11y-2x)=3y+5 equation:


Simplifying
(8y + 7x) + -1(-11y + -2x) = 3y + 5

Reorder the terms:
(7x + 8y) + -1(-11y + -2x) = 3y + 5

Remove parenthesis around (7x + 8y)
7x + 8y + -1(-11y + -2x) = 3y + 5

Reorder the terms:
7x + 8y + -1(-2x + -11y) = 3y + 5
7x + 8y + (-2x * -1 + -11y * -1) = 3y + 5
7x + 8y + (2x + 11y) = 3y + 5

Reorder the terms:
7x + 2x + 8y + 11y = 3y + 5

Combine like terms: 7x + 2x = 9x
9x + 8y + 11y = 3y + 5

Combine like terms: 8y + 11y = 19y
9x + 19y = 3y + 5

Reorder the terms:
9x + 19y = 5 + 3y

Solving
9x + 19y = 5 + 3y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-19y' to each side of the equation.
9x + 19y + -19y = 5 + 3y + -19y

Combine like terms: 19y + -19y = 0
9x + 0 = 5 + 3y + -19y
9x = 5 + 3y + -19y

Combine like terms: 3y + -19y = -16y
9x = 5 + -16y

Divide each side by '9'.
x = 0.5555555556 + -1.777777778y

Simplifying
x = 0.5555555556 + -1.777777778y

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